Stacy is painting her bedroom. She is able to paint 3/4 of the bedroom in 3 hours. At this rate, how long will it take her to paint the entire room?(1 point)

Question

Responses

6 hours
6 hours

4 hours
4 hours

12 hours
12 hours

94 hours

Answer 1

If Stacy can paint \( \frac{3}{4} \) of the bedroom in 3 hours, we can find out how long it takes to paint the entire bedroom by setting up a proportion.

1. First, find the rate at which she paints: \[ \text{Rate} = \frac{\text{part of room painted}}{\text{time}} = \frac{3/4}{3} = \frac{1}{4} \text{ of the room per hour} \]

2. Since it takes her 1 hour to paint \( \frac{1}{4} \) of the room, we can find how long it takes to paint the whole room (1 room): \[ \text{Time to paint 1 room} = \frac{1 \text{ room}}{1/4 \text{ room per hour}} = 4 \text{ hours} \]

So, it will take Stacy 4 hours to paint the entire room.

The correct response is 4 hours.